Convex Optimization
Cyclostationarity: half a century of research
Signal Processing
Optimal designs for space-time linear precoders and decoders
IEEE Transactions on Signal Processing
An optimal signal design for band-limited asynchronous DS-CDMA communications
IEEE Transactions on Information Theory
Joint transmitter and receiver optimization in additive cyclostationary noise
IEEE Transactions on Information Theory
Continuous-Time Equivalents of Welch Bound Equality Sequences
IEEE Transactions on Information Theory
An asymptotic analysis of band-limited DS/SSMA communication systems
IEEE Transactions on Information Theory
Multiuser Constrained Water-Pouring for Continuous-Time Overloaded Gaussian Multiple-Access Channels
IEEE Transactions on Information Theory
A survey of future broadband multimedia satellite systems, issues and trends
IEEE Communications Magazine
An MMSE Overlay Cognitive Wireless System
International Journal of Interdisciplinary Telecommunications and Networking
An MMSE Overlay Cognitive Wireless System
International Journal of Interdisciplinary Telecommunications and Networking
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In this paper, the design of an overlay system is considered that operates on a channel already occupied by a legacy system. It is assumed that the legacy transmitter generates a cyclostationary signal, and that the legacy receiver is equipped with a linear filter followed by a uniform sampler. Under a zero-interference constraint at the legacy receiver, the meansquared error at the overlay receiver is minimized to find the optimal overlay system that employs linear modulation and demodulation. For the trade-off between performance and rate of the overlay system, the problem is formulated to allow a transmission rate that is a fraction of the fundamental cycle frequency of the legacy signal. The notion of a virtual legacy receiver is devised to incorporate cases with non-identical frequency bands for the transmission and reception of the overlay signal. Using the vectorized Fourier transform technique, the problem is reformulated, the solution is derived, and a necessary and sufficient condition for the existence of the optimal solution is found, all in the frequency domain. Numerical results show that the proposed scheme significantly improves the spectral efficiency by effectively exploiting the cyclostationarity of the legacy signal.